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<h2>C++ Reference</h2>
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<li><a href="../cpp_algorithms/annotated.html">Algorithms</a></li>
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<h1 style="color: #145A32;">C++ Reference: CP-SAT</h1>
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<a href="#namespaces">Namespaces</a> &#124;
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<a href="#func-members">Functions</a> </div>
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<div class="title">operations_research Namespace Reference</div> </div>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:namespaceoperations__research_1_1sat"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research_1_1sat.html">sat</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structoperations__research_1_1_closed_interval.html">ClosedInterval</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Represents a closed interval [start, end]. <a href="structoperations__research_1_1_closed_interval.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_domain.html">Domain</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">We call <em>domain</em> any subset of Int64 = [kint64min, kint64max]. <a href="classoperations__research_1_1_domain.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_nested_time_limit.html">NestedTimeLimit</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Provides a way to nest time limits for algorithms where a certain part of the computation is bounded not just by the overall time limit, but also by a stricter time limit specific just for this particular part. <a href="classoperations__research_1_1_nested_time_limit.html#details">More...</a><br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_shared_time_limit.html">SharedTimeLimit</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_sorted_disjoint_interval_list.html">SortedDisjointIntervalList</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">This class represents a sorted list of disjoint, closed intervals. <a href="classoperations__research_1_1_sorted_disjoint_interval_list.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classoperations__research_1_1_time_limit.html">TimeLimit</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">A simple class to enforce both an elapsed time limit and a deterministic time limit in the same thread as a program. <a href="classoperations__research_1_1_time_limit.html#details">More...</a><br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a5c341d9214d5d46014089435ba0e26d3"><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a5c341d9214d5d46014089435ba0e26d3">operator&lt;&lt;</a> (std::ostream &amp;out, const <a class="el" href="structoperations__research_1_1_closed_interval.html">ClosedInterval</a> &amp;interval)</td></tr>
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<tr class="memitem:aaa301d39d2a9271daf8c65e779635335"><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aaa301d39d2a9271daf8c65e779635335">operator&lt;&lt;</a> (std::ostream &amp;out, const std::vector&lt; <a class="el" href="structoperations__research_1_1_closed_interval.html">ClosedInterval</a> &gt; &amp;intervals)</td></tr>
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<tr class="memitem:ab8c23924c4b61ed5c531424a6f18bde1"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#ab8c23924c4b61ed5c531424a6f18bde1">IntervalsAreSortedAndNonAdjacent</a> (absl::Span&lt; const <a class="el" href="structoperations__research_1_1_closed_interval.html">ClosedInterval</a> &gt; intervals)</td></tr>
<tr class="memdesc:ab8c23924c4b61ed5c531424a6f18bde1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns true iff we have: <a href="#ab8c23924c4b61ed5c531424a6f18bde1">More...</a><br /></td></tr>
<tr class="separator:ab8c23924c4b61ed5c531424a6f18bde1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abebf3070a940da6bf678953a66584e76"><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#abebf3070a940da6bf678953a66584e76">operator&lt;&lt;</a> (std::ostream &amp;out, const <a class="el" href="classoperations__research_1_1_domain.html">Domain</a> &amp;domain)</td></tr>
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<tr class="memitem:a6fb2cc3382534da86167bf6644e057e7"><td class="memItemLeft" align="right" valign="top">int64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#a6fb2cc3382534da86167bf6644e057e7">SumOfKMinValueInDomain</a> (const <a class="el" href="classoperations__research_1_1_domain.html">Domain</a> &amp;domain, int k)</td></tr>
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<tr class="memitem:aeab50e8a6cadc29a421918a966df360f"><td class="memItemLeft" align="right" valign="top">int64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceoperations__research.html#aeab50e8a6cadc29a421918a966df360f">SumOfKMaxValueInDomain</a> (const <a class="el" href="classoperations__research_1_1_domain.html">Domain</a> &amp;domain, int k)</td></tr>
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<h2 class="groupheader">Function Documentation</h2>
<a id="ab8c23924c4b61ed5c531424a6f18bde1"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab8c23924c4b61ed5c531424a6f18bde1">&#9670;&nbsp;</a></span>IntervalsAreSortedAndNonAdjacent()</h2>
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<td class="memname">bool operations_research::IntervalsAreSortedAndNonAdjacent </td>
<td>(</td>
<td class="paramtype">absl::Span&lt; const <a class="el" href="structoperations__research_1_1_closed_interval.html">ClosedInterval</a> &gt;&#160;</td>
<td class="paramname"><em>intervals</em></td><td>)</td>
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<p>Returns true iff we have: </p>
<ul>
<li>The intervals appear in increasing order.</li>
<li>for all i: intervals[i].start &lt;= intervals[i].end (should always be true, by construction, but bad intervals can in practice escape detection in opt mode).</li>
<li>for all i but the last: intervals[i].end + 1 &lt; intervals[i+1].start </li>
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<a id="a5c341d9214d5d46014089435ba0e26d3"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5c341d9214d5d46014089435ba0e26d3">&#9670;&nbsp;</a></span>operator&lt;&lt;() <span class="overload">[1/3]</span></h2>
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<td class="memname">std::ostream&amp; operations_research::operator&lt;&lt; </td>
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<td class="paramtype">std::ostream &amp;&#160;</td>
<td class="paramname"><em>out</em>, </td>
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<td class="paramtype">const <a class="el" href="structoperations__research_1_1_closed_interval.html">ClosedInterval</a> &amp;&#160;</td>
<td class="paramname"><em>interval</em>&#160;</td>
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<td>)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#aaa301d39d2a9271daf8c65e779635335">&#9670;&nbsp;</a></span>operator&lt;&lt;() <span class="overload">[2/3]</span></h2>
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<td class="memname">std::ostream&amp; operations_research::operator&lt;&lt; </td>
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<td class="paramtype">std::ostream &amp;&#160;</td>
<td class="paramname"><em>out</em>, </td>
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<td class="paramtype">const std::vector&lt; <a class="el" href="structoperations__research_1_1_closed_interval.html">ClosedInterval</a> &gt; &amp;&#160;</td>
<td class="paramname"><em>intervals</em>&#160;</td>
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<td>)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#abebf3070a940da6bf678953a66584e76">&#9670;&nbsp;</a></span>operator&lt;&lt;() <span class="overload">[3/3]</span></h2>
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<td class="memname">std::ostream&amp; operations_research::operator&lt;&lt; </td>
<td>(</td>
<td class="paramtype">std::ostream &amp;&#160;</td>
<td class="paramname"><em>out</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const <a class="el" href="classoperations__research_1_1_domain.html">Domain</a> &amp;&#160;</td>
<td class="paramname"><em>domain</em>&#160;</td>
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<td>)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#aeab50e8a6cadc29a421918a966df360f">&#9670;&nbsp;</a></span>SumOfKMaxValueInDomain()</h2>
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<td class="memname">int64_t operations_research::SumOfKMaxValueInDomain </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classoperations__research_1_1_domain.html">Domain</a> &amp;&#160;</td>
<td class="paramname"><em>domain</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>k</em>&#160;</td>
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<td>)</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a6fb2cc3382534da86167bf6644e057e7">&#9670;&nbsp;</a></span>SumOfKMinValueInDomain()</h2>
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<td class="memname">int64_t operations_research::SumOfKMinValueInDomain </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classoperations__research_1_1_domain.html">Domain</a> &amp;&#160;</td>
<td class="paramname"><em>domain</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>k</em>&#160;</td>
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<td>)</td>
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